名校
解题方法
1 . 若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cdae6106dbdaf726364c27ddc133b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea16125a2b2462fc9a5d8e943c32cda.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
580次组卷
|
6卷引用:四川省内江市第六中学2023-2024学年高一下学期期中考试数学试卷
四川省内江市第六中学2023-2024学年高一下学期期中考试数学试卷河南省新乡市2023-2024学年高一上学期期末测试数学试题(已下线)8.2.4三角恒等变换的应用-同步精品课堂(人教B版2019必修第三册)(已下线)专题01 三角函数公式常考题型归类-期末考点大串讲(人教B版2019必修第三册)(已下线)专题05 三角恒等变换的8种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)海南省2023-2024学年高一下学期期末考试数学试题
名校
2 . 已知函数
,点
、
是函数
图象上不同的两个点,设
为坐标原点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541ec913428703d4cae2476b147ce1a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63711c480473cbc27a06cdb82ddd000.png)
您最近一年使用:0次
名校
3 . 对于平面向量
,定义“
变换”:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8560ca9023cf64637ce1467f338556bd.png)
(1)若向量
,
,求
;
(2)已知
,
,且
与
不平行,
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d128ae3e21294e2eac5bcc775ccfb03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a18fd5445fb8a04b925a2745a56f613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddd9dc1110e60973b7b9e43bb1f9d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8560ca9023cf64637ce1467f338556bd.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea462b0382581d99c8bba51d9b79f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e186ebc624ebacde9a03b96289f1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e900404ba71110c5861ced9634646f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22601439d36b6a93453d738c2b803eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc499d2e731df31957eeaa355bfbac4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63cf7e5f25165ccf0e24d32add179ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a176f300a2462e4f1ffef99d30c21e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e719e667f2783febbec38dea080b98.png)
您最近一年使用:0次
名校
4 . 在
中,角
的对边分别为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf7c342ca03223c26581d35f049a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7112e7ccb1eb90facfa5182ea763970a.png)
您最近一年使用:0次
名校
5 .
中,
,
,面积为
,则
外接圆的直径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1466856bf2570685d3629c1f813748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 在
中,角
所对的边分别为
,若
,
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e29b822cda1ba926e96368094fa1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e610655c96170468c74bbb5f8d86b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 为了得到
的图象,只要将函数
的图象( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11421f3044e7bf8d32194990e435418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c22908a8906d24771fb0254d4e3513.png)
A.向左平移![]() | B.向右平移![]() |
C.向右平移![]() | D.向左平移![]() |
您最近一年使用:0次
2024-06-14更新
|
573次组卷
|
12卷引用:模块五 专题2 全真基础模拟2(北师版高一期中)
(已下线)模块五 专题2 全真基础模拟2(北师版高一期中)四川省泸州高级中学校2023-2024学年高一下学期5月期中考试数学试题四川成华区某校2023-2024学年高一下学期期中考试数学试题浙江省宁波市镇海中学2023-2024学年高一上学期期末数学试卷浙江省温州市第五十一中学2024届高三上学期期末数学试题湖南省株洲市二中2023-2024学年高一下学期开学考试数学试卷(已下线)7.3.2 正弦型函数的性质与图象(1)-【帮课堂】(人教B版2019必修第三册)河北省石家庄市第二中学2023-2024学年高一下学期学情调研(一)数学试题广西桂林市逸仙中学2023-2024学年高一下学期4月月考数学试题(已下线)专题03y=Asin(ωx+φ)的综合性质期末8种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)江西省南昌市第十中学2023-2024学年高一下学期第二次月考数学试题
名校
解题方法
8 . 已知在
中,
,
为
的中点,且
,则边
上高的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de966c316db1013defc56372fcf814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
名校
9 . (1)四点共圆是平面几何中一种重要的位置关系:
如图,
,
,
,
四点共圆,
为外接圆直径,
,
,
,求
与
的长度;
①(托勒密定理)任意凸四边形,两组对边的乘积之和不小于两条对角线的乘积,当且仅当该四边形的四个顶点共圆时等号成立.
②(婆罗摩笈多面积定理)若给定凸四边形的四条边长,当且仅当该四边形的四个顶点共圆时,四边形的面积最大.
根据上述材料,解决以下问题:
,
,
,
,求线段
长度的最大值;
(ii)见图2,若
,
,
,求四边形
面积取得最大值时角
的大小,并求出此时四边形
的面积.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a651eb577dbada1f29590e558d6f9fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab5c45a72849d2cae1d65b282b5bd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
①(托勒密定理)任意凸四边形,两组对边的乘积之和不小于两条对角线的乘积,当且仅当该四边形的四个顶点共圆时等号成立.
②(婆罗摩笈多面积定理)若给定凸四边形的四条边长,当且仅当该四边形的四个顶点共圆时,四边形的面积最大.
根据上述材料,解决以下问题:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f54faa21cdabc65b912b0e76eb68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212bfbd5575772ca36d6fc3e7b246e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(ii)见图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c41757ae282475fb29ec1e8e02045d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
分别是
三个内角
的对边,下列关于
的形状判断一定正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-06-11更新
|
296次组卷
|
4卷引用:安徽省芜湖市第一中学2023-2024学年高一下学期期中考试数学试卷
安徽省芜湖市第一中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题05 解三角形(1)-期末考点大串讲(人教B版2019必修第四册)湖南省常德市桃花源一中2023-2024学年高一下学期6月份月考数学试题(已下线)解三角形-综合测试卷B卷